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Article

Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions

by 1,†, 2,3,† and 4,5,*,†
1
Department of Mathematics, Texas A and M University, Kingsville, TX 78363, USA
2
Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen
3
Department of Mathematics, Faculty of Education, Seiyun University, Hadhramout 50512, Yemen
4
Department of Mathematics and Computer Science, University of Catania, 95124 Catania, Italy
5
RUDN University, 6 Miklukho, Maklay St, Moscow 117198, Russia
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Received: 15 December 2020 / Revised: 14 January 2021 / Accepted: 15 January 2021 / Published: 20 January 2021
(This article belongs to the Special Issue Nonlinear Dynamics and Analysis)
The objective of this paper is to study oscillation of fourth-order neutral differential equation. By using Riccati substitution and comparison technique, new oscillation conditions are obtained which insure that all solutions of the studied equation are oscillatory. Our results complement some known results for neutral differential equations. An illustrative example is included. View Full-Text
Keywords: neutral differential equations; oscillation; fourth-order differential equation; p-Laplacian equations neutral differential equations; oscillation; fourth-order differential equation; p-Laplacian equations
MDPI and ACS Style

Agarwal, R.P.; Bazighifan, O.; Ragusa, M.A. Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions. Entropy 2021, 23, 129. https://0-doi-org.brum.beds.ac.uk/10.3390/e23020129

AMA Style

Agarwal RP, Bazighifan O, Ragusa MA. Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions. Entropy. 2021; 23(2):129. https://0-doi-org.brum.beds.ac.uk/10.3390/e23020129

Chicago/Turabian Style

Agarwal, Ravi P., Omar Bazighifan, and Maria A. Ragusa. 2021. "Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions" Entropy 23, no. 2: 129. https://0-doi-org.brum.beds.ac.uk/10.3390/e23020129

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